MDM4UI Unit 3 - Lesson 3
Odds commonly used in sports another way to express a level of confidence odds in favour of event A occurring is: P(A) P(A’)
Show that is the same as.
The odds against event A occurring is: P(A’) P(A)
EXAMPLE 1: A messy drawer contains 3 red socks, 5 white socks, and 4 black socks. What are the odds in favour of randomly drawing a red sock?
EXAMPLE 2: If the chance of a snowstorm in Windsor, Ontario, in January is estimated at 0.4, what are the odds against Windsor’s having a snowstorm next January? Is a January snowstorm more likely than not?
SOLUTION
EXAMPLE 3: A university professor, in an effort to promote good attendance habits, states that the odds of passing her course are 8 to 1 when a student misses fewer than five classes. What is the probability that a student with good attendance will pass?
SOLUTION
In general, it can be shown that if the odds in favour of A is: then
Homework for this lesson p. 318 # 1 – 4, 8, 10, 12.